Home / 468,407,011,190.86-646,163,780,032.08-305,921,768,484.16

Finding the Fourth Proportional to 468,407,011,190.86, 646,163,780,032.08 and 305,921,768,484.16

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Solution

The fourth proportional to 468,407,011,190.86, 646,163,780,032.08 and 305,921,768,484.16 is: 422,016,668,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,407,011,190.86 : 646,163,780,032.08 = 305,921,768,484.16 : x
  2. Step 2: Convert to fraction form
    468,407,011,190.86/646,163,780,032.08 = 305,921,768,484.16/x
  3. Step 3: Cross multiply
    468,407,011,190.86x = 646,163,780,032.08 × 305,921,768,484.16
  4. Step 4: Simplify right side
    468,407,011,190.86x = 197,675,566,317,823,642,828,800
  5. Step 5: Solve for x
    x = 197,675,566,317,823,642,828,800/468,407,011,190.86
  6. Step 6: Final answer
    x = 422,016,668,399.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.